Atkin-Lehner |
2- 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344r |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
6031886966784 = 213 · 33 · 73 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 6 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167859,-26470414] |
[a1,a2,a3,a4,a6] |
j |
4729703265220779/54541802 |
j-invariant |
L |
1.8869208539615 |
L(r)(E,1)/r! |
Ω |
0.23586510675563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5418c1 43344q2 |
Quadratic twists by: -4 -3 |